Finite Group Databasebeta

?

← Prev (#44548536) Next (#44548538) →

#44548537

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

78 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^7,251|a^2=d,b^2=f,c^2=fg,d^2=g,e^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,c^b=cf,d^b=def,e^b=eg,h^b=h^250,d^c=dfg,e^d=eg

Conjugacy classes & character table

1639 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32128, 2682);